Wall clock time and date at job start Sat Apr 11 2020 06:12:25 AMSOL-version 7.1 by G. D. Hawkins, D. J. Giesen, G. C. Lynch, C. C. Chambers, I. Rossi, J. W. Storer, J. Li, J. D. Thompson, P. Winget, B. J. Lynch, D. Rinaldi, D. A. Liotard, C. J. Cramer, and D. G. Truhlar Copyright 2004 by Regents of the University of Minnesota. All rights reserved. Notice: recipients of this code are asked to comply with the user agreement in Section 1 of the documentation file. ******************************************************************************* * 1SCF - SCF CALCULATION WITHOUT GEOMETRY OPTIMIZATION * - USE EF ROUTINE FOR MINIMUM SEARCH (DEFAULT) * GEO-OK - OVERRIDE INTERATOMIC DISTANCE CHECK * TLIMIT= - A TIME OF 15. SECONDS REQUESTED * CHARGE - CHARGE ON SYSTEM= -1 * AM1 - THE AM1 HAMILTONIAN TO BE USED * DEV - DEVELOPER OPTIONS ARE ALLOWED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS USER-SPECIFIED * DIELEC - THE SOLVENT DIELECTRIC CONSTANT IS 2.06 * IOFR - THE SOLVENT INDEX OF REFRACTION IS 1.4345 * ALPHA - THE SOLVENT ALPHA IS 0.00 * BETA - THE SOLVENT BETA IS 0.00 * GAMMA - THE SOLVENT MACROSCOPIC SURFACE TENSION IS * 38.93 CAL MOL^-1 ANGSTROM^-2 * FACARB - THE FRACTION OF AROMATIC CARBONS IS 0.00 * FEHALO - THE FRACTION OF ELECTRONEGATIVE HALOGENS IS 0.00 ******************************************************************************* Atom NO. Chemical Bond length Bond angle Dihedral angle number (k) symbol (angstroms) (degrees) (degrees) (I) NA:I NB:NA:I NC:NB:NA:I NA NB NC 1 1 C 2 2 C 1.52995 * 1 3 3 H 1.09000 * 109.46743 * 2 1 4 4 C 1.53045 * 109.45265 * 119.97112 * 2 1 3 5 5 H 1.09001 * 109.50398 * 59.24828 * 4 2 1 6 6 N 1.46498 * 109.50393 * 299.13128 * 4 2 1 7 7 C 1.34775 * 120.00362 * 155.00032 * 6 4 2 8 8 O 1.21282 * 119.99885 * 359.97438 * 7 6 4 9 9 C 1.50699 * 120.00338 * 180.02562 * 7 6 4 10 10 C 1.52997 * 109.47353 * 179.97438 * 9 7 6 11 11 N 1.46896 * 109.47317 * 179.97438 * 10 9 7 12 12 C 1.46897 * 111.00041 * 170.00249 * 11 10 9 13 13 C 1.46901 * 110.99945 * 293.95313 * 11 10 9 14 14 C 1.53116 * 109.27817 * 179.18621 * 4 2 1 15 15 C 1.53114 * 109.16563 * 302.34908 * 14 4 2 16 16 C 1.53036 * 109.27841 * 57.64765 * 15 14 4 17 17 N 1.46844 * 109.52751 * 300.82475 * 16 15 14 18 18 C 1.46902 * 110.99976 * 185.83533 * 17 16 15 19 19 C 1.50700 * 109.47451 * 301.27927 * 18 17 16 20 20 O 1.21291 * 119.99794 * 354.33111 * 19 18 17 21 21 N 1.34777 * 120.00136 * 174.32946 * 19 18 17 22 22 C 1.37089 * 119.99937 * 179.97438 * 21 19 18 23 23 H 1.08001 * 120.00278 * 0.02562 * 22 21 19 24 24 C 1.38955 * 120.00218 * 179.97438 * 22 21 19 25 25 N 1.31418 * 119.99575 * 0.02562 * 24 22 21 26 26 Si 1.86795 * 120.00416 * 179.97438 * 24 22 21 27 27 H 1.48507 * 109.46702 * 60.00287 * 26 24 22 28 28 H 1.48498 * 109.47168 * 179.97438 * 26 24 22 29 29 H 1.48495 * 109.47577 * 300.00460 * 26 24 22 30 30 H 1.09006 * 109.47602 * 173.50312 * 1 2 3 31 31 H 1.09005 * 109.47200 * 293.50136 * 1 2 3 32 32 H 1.08994 * 109.47225 * 53.50272 * 1 2 3 33 33 H 0.97004 * 119.99977 * 335.00085 * 6 4 2 34 34 H 1.09004 * 109.46817 * 299.99554 * 9 7 6 35 35 H 1.08995 * 109.47392 * 59.99627 * 9 7 6 36 36 H 1.08999 * 109.47262 * 299.99793 * 10 9 7 37 37 H 1.09009 * 109.46894 * 59.99577 * 10 9 7 38 38 H 1.08999 * 109.47989 * 59.99674 * 12 11 10 39 39 H 1.09000 * 109.47310 * 180.02562 * 12 11 10 40 40 H 1.09006 * 109.46900 * 299.99981 * 12 11 10 41 41 H 1.08999 * 109.47213 * 59.99564 * 13 11 10 42 42 H 1.08995 * 109.47053 * 180.02562 * 13 11 10 43 43 H 1.09005 * 109.47165 * 299.99839 * 13 11 10 44 44 H 1.09002 * 109.52363 * 182.43495 * 14 4 2 45 45 H 1.09007 * 109.57029 * 62.28728 * 14 4 2 46 46 H 1.09001 * 109.49688 * 297.71223 * 15 14 4 47 47 H 1.08991 * 109.50682 * 177.59575 * 15 14 4 48 48 H 1.09001 * 109.46198 * 180.80934 * 16 15 14 49 49 H 1.09007 * 109.45862 * 60.84557 * 16 15 14 50 50 H 1.09000 * 109.46710 * 61.28380 * 18 17 16 51 51 H 1.09002 * 109.46853 * 181.27472 * 18 17 16 52 52 H 0.97002 * 119.99310 * 0.02562 * 21 19 18 53 53 H 0.96994 * 119.99615 * 179.97438 * 25 24 22 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 6 0.0000 0.0000 0.0000 2 6 1.5299 0.0000 0.0000 3 1 1.8932 1.0277 0.0000 4 6 2.0396 -0.7209 1.2501 5 1 1.6655 -1.7447 1.2578 6 7 1.5686 -0.0182 2.4462 7 6 1.4399 -0.6830 3.6115 8 8 1.7135 -1.8631 3.6699 9 6 0.9548 0.0398 4.8417 10 6 0.8990 -0.9368 6.0182 11 7 0.4268 -0.2321 7.2175 12 6 0.1341 -1.1779 8.3027 13 6 1.3989 0.7808 7.6499 14 6 3.5706 -0.7364 1.2359 15 6 4.0545 -1.4192 -0.0463 16 6 3.4864 -0.6782 -1.2588 17 7 2.0192 -0.6920 -1.1992 18 6 1.4375 -0.1107 -2.4165 19 6 1.9266 1.3052 -2.5805 20 8 2.6015 1.8180 -1.7128 21 7 1.6141 2.0018 -3.6911 22 6 2.0586 3.2901 -3.8400 23 1 2.6596 3.7467 -3.0674 24 6 1.7370 4.0081 -4.9853 25 7 1.0061 3.4524 -5.9256 26 14 2.3420 5.7637 -5.1879 27 1 3.8267 5.7821 -5.1581 28 1 1.8667 6.3043 -6.4867 29 1 1.8144 6.6001 -4.0801 30 1 -0.3634 -1.0211 -0.1163 31 1 -0.3634 0.4098 0.9425 32 1 -0.3633 0.6112 -0.8261 33 1 1.3494 0.9256 2.3994 34 1 1.6391 0.8548 5.0777 35 1 -0.0408 0.4432 4.6573 36 1 0.2146 -1.7515 5.7820 37 1 1.8946 -1.3405 6.2027 38 1 1.0381 -1.7316 8.5560 39 1 -0.2140 -0.6299 9.1783 40 1 -0.6397 -1.8741 7.9790 41 1 1.5448 1.5085 6.8517 42 1 1.0247 1.2870 8.5397 43 1 2.3489 0.2980 7.8795 44 1 3.9375 -1.2866 2.1024 45 1 3.9465 0.2863 1.2681 46 1 3.7120 -2.4540 -0.0589 47 1 5.1436 -1.3954 -0.0826 48 1 3.8174 -1.1705 -2.1732 49 1 3.8405 0.3528 -1.2529 50 1 1.7390 -0.7018 -3.2813 51 1 0.3504 -0.1127 -2.3364 52 1 1.0741 1.5918 -4.3848 53 1 0.7813 3.9537 -6.7249 RHF calculation, no. of doubly occupied orbitals= 66 REFERENCES FOR PARAMETERS IN GAS-PHASE HAMILTONIAN: H: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) C: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) N: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) O: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) Si: (AM1): M.J.S.DEWAR, C. JIE, ORGANOMETALLICS, 6, 1486-1490 (1987). REFERENCE FOR CHARGE MODEL 2: J. Li, J. Xing, C. J. Cramer, and D. G. Truhlar, J. Chem. Phys. 111 (1999) 885. REFERENCE FOR THE PARAMETERIZATION OF THE SM5.42R SOLVATION MODEL: J. Li, T. Zhu, G. D. Hawkins, P. Winget, D. A. Liotard, C. J. Cramer, and D. G. Truhlar, Theor. Chem. Acc. 103 (1999) 9-63 P. Winget, J. D. Thompson C. J. Cramer,and D. G. Truhlar, J. Phys. Chem. B. submitted. CHARGE=-1 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV ZINC001734460756.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:12:25 Heat of formation + Delta-G solvation = -66.537455 kcal Electronic energy + Delta-G solvation = -30847.148394 eV Core-core repulsion = 26753.593606 eV Total energy + Delta-G solvation = -4093.554788 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.75 seconds Orbital eigenvalues (eV) -40.34964 -39.32133 -37.80464 -37.21886 -34.70626 -33.88003 -33.01472 -31.88800 -31.35190 -30.45850 -27.92603 -27.46232 -26.58190 -25.31802 -24.56712 -22.73989 -21.43448 -21.28033 -20.30225 -19.81778 -19.05713 -17.86708 -17.31037 -16.34990 -16.15437 -15.92429 -15.45097 -15.20912 -15.07635 -14.90006 -14.74083 -14.49458 -14.31454 -13.95679 -13.62558 -13.53870 -13.42397 -13.03163 -12.89237 -12.71379 -12.38664 -12.11695 -12.04293 -12.01570 -11.83449 -11.77921 -11.68004 -11.53096 -11.31975 -11.19770 -11.12030 -10.74057 -10.57788 -10.50374 -10.45140 -10.30004 -10.08006 -9.78480 -9.49352 -9.25142 -8.94890 -8.72516 -8.04557 -7.43774 -6.49877 -3.91439 2.62027 3.02721 3.12438 3.19927 3.23566 3.72125 3.78221 4.10297 4.33693 4.58346 4.69917 4.81934 4.84797 4.93821 5.01908 5.04411 5.07812 5.16549 5.19560 5.25110 5.25753 5.31974 5.38295 5.53619 5.57129 5.59614 5.63541 5.70111 5.71342 5.76160 5.81041 5.95204 5.97457 6.05698 6.11826 6.16110 6.17187 6.31914 6.34458 6.38100 6.51631 6.60691 6.64419 6.65322 6.77141 7.34728 7.46184 7.46393 7.53035 7.95999 8.21878 8.50859 9.08036 9.44504 9.94744 10.66412 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.015910 B = 0.002245 C = 0.002096 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1759.436996 B =12468.660176 C =13358.137451 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C 0.061 3.939 3 H 0.087 0.913 4 C 0.157 3.843 5 H 0.090 0.910 6 N -0.720 5.720 7 C 0.516 3.484 8 O -0.546 6.546 9 C -0.139 4.139 10 C 0.071 3.929 11 N -0.550 5.550 12 C 0.025 3.975 13 C 0.018 3.982 14 C -0.127 4.127 15 C -0.109 4.109 16 C 0.034 3.966 17 N -0.505 5.505 18 C 0.038 3.962 19 C 0.407 3.593 20 O -0.595 6.595 21 N -0.555 5.555 22 C -0.303 4.303 23 H 0.102 0.898 24 C 0.024 3.976 25 N -0.897 5.897 26 Si 0.930 3.070 27 H -0.274 1.274 28 H -0.284 1.284 29 H -0.274 1.274 30 H 0.059 0.941 31 H 0.055 0.945 32 H 0.058 0.942 33 H 0.400 0.600 34 H 0.092 0.908 35 H 0.102 0.898 36 H 0.083 0.917 37 H 0.043 0.957 38 H 0.026 0.974 39 H 0.068 0.932 40 H 0.069 0.931 41 H 0.071 0.929 42 H 0.068 0.932 43 H 0.026 0.974 44 H 0.061 0.939 45 H 0.063 0.937 46 H 0.065 0.935 47 H 0.064 0.936 48 H 0.065 0.935 49 H 0.078 0.922 50 H 0.088 0.912 51 H 0.093 0.907 52 H 0.393 0.607 53 H 0.273 0.727 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.235 -7.760 19.312 20.849 Note: The Mulliken population analysis charges presented below were not used in the solvation calculation but are provided for completeness. The chosen solvation model uses CM2 partial charges for calculating solvation energies. Net atomic charges, atomic populations, and dipole contributions using Mulliken population analysis Atom NO. Type Charge No. of electrons 1 C -0.203 4.203 2 C -0.048 4.048 3 H 0.105 0.895 4 C 0.052 3.948 5 H 0.108 0.892 6 N -0.371 5.371 7 C 0.302 3.698 8 O -0.423 6.423 9 C -0.180 4.180 10 C -0.057 4.057 11 N -0.274 5.274 12 C -0.123 4.123 13 C -0.130 4.130 14 C -0.165 4.165 15 C -0.147 4.147 16 C -0.093 4.093 17 N -0.229 5.229 18 C -0.094 4.094 19 C 0.192 3.808 20 O -0.483 6.483 21 N -0.190 5.190 22 C -0.433 4.433 23 H 0.120 0.880 24 C -0.178 4.178 25 N -0.538 5.538 26 Si 0.757 3.243 27 H -0.199 1.199 28 H -0.209 1.209 29 H -0.199 1.199 30 H 0.078 0.922 31 H 0.074 0.926 32 H 0.077 0.923 33 H 0.235 0.765 34 H 0.110 0.890 35 H 0.120 0.880 36 H 0.101 0.899 37 H 0.061 0.939 38 H 0.044 0.956 39 H 0.087 0.913 40 H 0.088 0.912 41 H 0.090 0.910 42 H 0.087 0.913 43 H 0.045 0.955 44 H 0.080 0.920 45 H 0.082 0.918 46 H 0.083 0.917 47 H 0.083 0.917 48 H 0.084 0.916 49 H 0.096 0.904 50 H 0.107 0.893 51 H 0.111 0.889 52 H 0.226 0.774 53 H 0.083 0.917 Dipole moment (debyes) X Y Z Total from point charges -1.258 -8.452 19.637 21.415 hybrid contribution 0.848 1.632 -0.632 1.944 sum -0.410 -6.820 19.005 20.195 Atomic orbital electron populations 1.21899 0.94859 1.02039 1.01551 1.21962 0.94952 0.98843 0.89058 0.89533 1.20930 0.93628 0.97121 0.83105 0.89166 1.46073 1.67648 1.13865 1.09537 1.20542 0.77333 0.87434 0.84538 1.90696 1.50427 1.15940 1.85258 1.21644 1.03938 0.99634 0.92747 1.21824 0.99973 0.95469 0.88472 1.61967 1.44274 1.15595 1.05561 1.22364 1.00281 0.95599 0.94053 1.22472 0.93588 0.95605 1.01329 1.21916 0.95338 1.01161 0.98135 1.21484 0.99572 0.99709 0.93956 1.22370 0.87463 1.02019 0.97482 1.62367 1.07826 1.51877 1.00818 1.22118 1.00793 0.92804 0.93642 1.21080 0.86391 0.88986 0.84315 1.90388 1.43826 1.71487 1.42563 1.42053 1.46066 1.13318 1.17561 1.19645 1.30604 0.88775 1.04273 0.88049 1.25294 0.96762 1.00381 0.95369 1.69602 1.37124 1.38303 1.08744 0.85926 0.79142 0.81715 0.77495 1.19899 1.20894 1.19894 0.92224 0.92627 0.92253 0.76532 0.88957 0.87988 0.89888 0.93919 0.95564 0.91315 0.91195 0.91033 0.91347 0.95542 0.92048 0.91844 0.91672 0.91698 0.91614 0.90395 0.89338 0.88861 0.77371 0.91679 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. Note: The number of geometries may not correspond to the number of cycles due to rejected geometry changes. In the following table subtotal= G_P + SS G_CDS. Atom Chem. CM2 G_P Area Sigma k SS G_CDS Subtotal M number symbol chg. (kcal) (Ang**2) cal/(Ang**2) (kcal) (kcal) value 1 C -0.15 -2.02 8.48 37.15 0.32 -1.70 16 2 C 0.06 0.93 1.64 -67.72 -0.11 0.82 16 3 H 0.09 1.59 5.76 -51.93 -0.30 1.29 16 4 C 0.16 2.19 2.05 -67.85 -0.14 2.05 16 5 H 0.09 1.41 7.58 -51.93 -0.39 1.02 16 6 N -0.72 -8.44 4.30 -53.73 -0.23 -8.67 16 7 C 0.52 6.22 7.80 -10.99 -0.09 6.13 16 8 O -0.55 -8.55 15.64 5.56 0.09 -8.46 16 9 C -0.14 -1.23 5.62 -27.89 -0.16 -1.39 16 10 C 0.07 0.67 4.25 -3.83 -0.02 0.66 16 11 N -0.55 -4.66 5.02 -251.26 -1.26 -5.92 16 12 C 0.03 0.18 9.57 60.06 0.57 0.75 16 13 C 0.02 0.13 9.32 60.07 0.56 0.69 16 14 C -0.13 -1.78 5.58 -26.61 -0.15 -1.93 16 15 C -0.11 -1.51 6.09 -26.65 -0.16 -1.67 16 16 C 0.03 0.56 4.98 -3.84 -0.02 0.54 16 17 N -0.51 -8.13 4.69 -228.12 -1.07 -9.21 16 18 C 0.04 0.65 5.47 -4.97 -0.03 0.62 16 19 C 0.41 8.88 7.18 -10.99 -0.08 8.80 16 20 O -0.60 -14.39 11.22 5.55 0.06 -14.33 16 21 N -0.55 -13.39 5.29 -10.96 -0.06 -13.45 16 22 C -0.30 -8.11 9.68 -14.94 -0.14 -8.26 16 23 H 0.10 2.84 7.16 -52.49 -0.38 2.47 16 24 C 0.02 0.63 5.50 -17.46 -0.10 0.54 16 25 N -0.90 -23.75 13.05 55.50 0.72 -23.02 16 26 Si 0.93 20.49 29.55 -169.99 -5.02 15.47 16 27 H -0.27 -6.01 7.11 56.52 0.40 -5.61 16 28 H -0.28 -6.12 7.11 56.52 0.40 -5.72 16 29 H -0.27 -5.99 7.11 56.52 0.40 -5.58 16 30 H 0.06 0.80 8.14 -51.93 -0.42 0.38 16 31 H 0.05 0.68 7.33 -51.93 -0.38 0.30 16 32 H 0.06 0.88 6.60 -51.93 -0.34 0.54 16 33 H 0.40 4.02 8.45 -40.82 -0.35 3.68 16 34 H 0.09 0.69 6.55 -51.93 -0.34 0.35 16 35 H 0.10 0.81 8.14 -51.93 -0.42 0.38 16 36 H 0.08 0.86 8.02 -51.93 -0.42 0.44 16 37 H 0.04 0.45 8.08 -51.92 -0.42 0.03 16 38 H 0.03 0.18 8.14 -51.93 -0.42 -0.24 16 39 H 0.07 0.41 8.12 -51.93 -0.42 -0.01 16 40 H 0.07 0.47 8.12 -51.93 -0.42 0.05 16 41 H 0.07 0.47 6.47 -51.93 -0.34 0.13 16 42 H 0.07 0.42 8.12 -51.93 -0.42 -0.01 16 43 H 0.03 0.19 8.14 -51.93 -0.42 -0.23 16 44 H 0.06 0.87 8.14 -51.93 -0.42 0.44 16 45 H 0.06 0.93 8.14 -51.93 -0.42 0.51 16 46 H 0.06 0.89 8.14 -51.93 -0.42 0.46 16 47 H 0.06 0.82 8.14 -51.93 -0.42 0.39 16 48 H 0.07 1.03 8.12 -51.93 -0.42 0.61 16 49 H 0.08 1.52 5.61 -51.93 -0.29 1.23 16 50 H 0.09 1.40 8.14 -51.93 -0.42 0.98 16 51 H 0.09 1.47 6.04 -51.93 -0.31 1.15 16 52 H 0.39 9.18 7.90 -40.82 -0.32 8.86 16 53 H 0.27 6.88 8.31 -40.82 -0.34 6.54 16 LS Contribution 408.93 15.07 6.16 6.16 Total: -1.00 -30.40 408.93 -9.55 -39.94 By element: Atomic # 1 Polarization: 24.04 SS G_CDS: -9.20 Total: 14.84 kcal Atomic # 6 Polarization: 6.38 SS G_CDS: 0.26 Total: 6.64 kcal Atomic # 7 Polarization: -58.37 SS G_CDS: -1.90 Total: -60.27 kcal Atomic # 8 Polarization: -22.94 SS G_CDS: 0.15 Total: -22.79 kcal Atomic # 14 Polarization: 20.49 SS G_CDS: -5.02 Total: 15.47 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -30.40 -9.55 -39.94 kcal The number of atoms in the molecule is 53 The average number of expansion shells was 16.00 The maximum number of expansion shells was 16 The minimum number of expansion shells was 16 **** NOTA BENE **** This is the net solvation energy for this exact molecular structure (nuclear and electronic)! The standard-state solvation energy should be obtained as the difference between the heat of formation plus delta-G solvation for the relaxed solvated system and that for the relaxed gas-phase system. ZINC001734460756.mol2 53 1SCF run This is a breakdown of the solvation energy calculated without geometric relaxation in solution: (1) E-EN(sol) electronic-nuclear energy of solute -26.595 kcal (2) G-P(sol) polarization free energy of solvation -30.396 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -56.991 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.547 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.942 kcal (6) G-S(sol) free energy of system = (1) + (5) -66.537 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.75 seconds